Tangents are drawn from the point (-1, 2) to the parabola `y^2 =4x` The area of the triangle for tangents and their chord of contact is

(i) Tangents are drawn from the point (alpha, beta) to the parabola y^2 = 4ax . Show that the length of their chord of contact is : 1/|a| sqrt((beta^2 - 4aalpha) (beta^2 + 4a^2)) . Also show that the area of the triangle formed by the tangents from (alpha, beta) to parabola y^2 = 4ax and the chord of contact is (beta^2 - 4aalpha)^(3/2)/(2a) . (ii) Prove that the area of the triangle formed by the tangents at points t_1 and t_2 on the parabola y^2 = 4ax with the chord joining these two points is a^2/2 |t_1 - t_2|^3 .

From the point (4,6) , a pair of tangent lines is drawn to the parabola y^2=8 x . The area of the triangle formed by these pairs of tangent lines and the chord of contact of the point (4,6) is

Tangents are drawn from the point (-1,2) to the parabola y^(2)=4x. These tangents meet the line x=2 at P and Q, then length of PQ is

From the point (4, 6) a pair of tangent lines are drawn to the parabola, y^(2) = 8x . The area of the triangle formed by these pair of tangent lines & the chord of contact of the point (4, 6) is

Tangents are drawn from any point on the line x+4a=0 to the parabola y^2=4a xdot Then find the angle subtended by the chord of contact at the vertex.

Tangents are drawn from any point on the line x+4a=0 to the parabola y^2=4a xdot Then find the angle subtended by the chord of contact at the vertex.

Tangents are drawn from any point on the line x+4a=0 to the parabola y^(2)=4ax. Then find the angle subtended by the chord of contact at the vertex.

Tangents are drawn from any point on the line x+4a=0 to the parabola y^2=4a xdot Then find the angle subtended by the chord of contact at the vertex.